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arXiv:2207.00094 · New Journal of Physics

Optimal quantum control of charging quantum batteries

Ricard Ravell Rodríguez, B. Ahmadi, Gerardo Suárez, Paweł Mazurek, Shabir Barzanjeh, Paweł Horodecki

Published Mar 27, 2024• 59 citations

Abstract

Abstract Quantum control allows us to address the problem of engineering quantum dynamics for special purposes. While recently the field of quantum batteries has attracted much attention, optimization of their charging has not benefited from the quantum control methods. Here we fill this gap by using an optimization method. We apply for the first time the convergent iterative method for the control of the population of a bipartite quantum system in two cases, starting with a qubit-qubit case. The quantum charger-battery system is considered here, where the energy is pumped into the charger by an external classical electromagnetic field. Secondly, we systematically extend our investigation to a second case involving two harmonic oscillators in the Gaussian regime, presenting an original formulation of the method. In both cases, the charger is considered to be an open dissipative system, as its interaction with the drive may require a more pronounced exposure to general interaction with environment. A key consideration in our optimization strategy is the practical concern of turning the charging external field on and off. We find that optimizing the pulse shape yields a substantial enhancement in both the power and efficiency of the charging process compared to a sinusoidal drive. The harmonic oscillator configuration of quantum batteries is particularly intriguing, as the optimal driving pulse remains effective regardless of the environmental temperature. This study introduces a novel approach to quantum battery charging optimization, opening avenues for enhanced performance in real-world applications.

DOI: 10.1088/1367-2630/ad3843

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Abstract Quantum control allows us to address the problem of engineering quantum dynamics for special purposes. While recently the field of quantum batteries has attracted much attention, optimization of their charging has not benefited from the quantum control methods. Here we fill this gap by using an optimization method. We apply for the first time the convergent iterative method for the control of the population of a bipartite quantum system in two cases, starting with a qubit-qubit case. The quantum charger-battery system is considered here, where the energy is pumped into the charger by an external classical electromagnetic field. Secondly, we systematically extend our investigation to a second case involving two harmonic oscillators in the Gaussian regime, presenting an original formulation of the method. In both cases, the charger is considered to be an open dissipative system, as its interaction with the drive may require a more pronounced exposure to general interaction with environment. A key consideration in our optimization strategy is the practical concern of turning the charging external field on and off. We find that optimizing the pulse shape yields a substantial enhancement in both the power and efficiency of the charging process compared to a sinusoidal drive. The harmonic oscillator configuration of quantum batteries is particularly intriguing, as the optimal driving pulse remains effective regardless of the environmental temperature. This study introduces a novel approach to quantum battery charging optimization, opening avenues for enhanced performance in real-world applications.

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Abstract In the context of quantum information, a quantum battery refers to a system composed of quantum particles that can store and release energy in a way that is governed by the principles of quantum mechanics. The study of open quantum batteries is motivated by the fact that real-world quantum systems are almost never perfectly isolated from their environment. One important challenge in the study of open quantum batteries is to develop theoretical models that accurately capture the complex interactions between the battery and its environment. the goal of studying open quantum batteries is to develop practical methods for building and operating quantum devices that can store and release energy with high efficiency and reliability, even in the presence of environmental noise and other sources of decoherence. The charging process of open quantum batteries under the influence of dissipative environment will be studied. In this Work, the effect of the classical driving field on the charging process of open quantum batteries will be investigated. The classical driving field can be used to manipulate the charging and discharging process of the battery, leading to enhanced performance and improved efficiency. It also will be showed that the efficiency of open quantum batteries depends on detuning between the qubit and the classical driving field and central frequency of the cavity and the classical driving field.

Abstract This study investigates the performance of a three-level quantum battery model, which aims to optimize the trade off between the high capacity of harmonic oscillators and the rapid charging of two-level systems. Utilizing a harmonic oscillator charger and a three-level holder, we analyze the impact of linear and quadratic driving protocols within an open quantum system framework. Our results show that linear driving yields a highly efficient charging process with an ergotropy to energy ratio near unity. On the other hands, the quadratic driving significantly enhances stored energy and peak charging power but introduces increased state mixedness that limits the extractable work. Furthermore, these findings highlight the necessity of balancing coupling strengths and driving nonlinearities to maximize the thermodynamic efficiency of the quantum battery.

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Arbitrary energy transfer is only feasible in nondissipative charger-battery systems; in realistic processes, however, energy dissipation prevents this. In this work, we introduce a novel charging technique in which the coherent charger-battery interaction is replaced by a dissipative interaction via an engineered reservoir. We demonstrate that exploiting the collective effects of the engineered reservoir allows for additional optimization, giving rise to an optimal redistribution of energy. This not only significantly enhances the efficiency of the charging process but also remarkably enables the quantum battery to accumulate unlimited energy---limited only by the natural energy scale of the device. This phenomenon cannot occur in conventional charger-battery schemes. The article unveils the intricacies of built-in detuning within the context of a shared environment, offering a deeper understanding of the charging mechanisms involved. These findings apply naturally to quantum circuit battery architectures, suggesting the feasibility of efficient energy storage in these systems. The superoptimal charging mechanism offers a practical avenue for boosting the capacity of the battery through charger-battery configurations.